JEE Mains · Maths · STD 12 - 5. continuity and differentiation
If \(y=\frac{(\sqrt{x}+1)\left(x^2-\sqrt{x}\right)}{x \sqrt{x}+x+\sqrt{x}}+\frac{1}{15}\left(3 \cos ^2 x-5\right) \cos ^3 x\), then \(96 y^{\prime}\left(\frac{\pi}{6}\right)\) is equal to :
- A \(15\)
- B \(150\)
- C \(453\)
- D \(105\)
Answer & Solution
Correct Answer
(D) \(105\)
Step-by-step Solution
Detailed explanation
\( y=\frac{(\sqrt{x}+1)\left(x^2-\sqrt{x}\right)}{x \sqrt{x}+x+\sqrt{x}}+\frac{1}{15}\left(3 \cos ^2 x-5\right) \cos ^3 x \)…
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